Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use , dx, u-x5 - 2 2 |능og(45 - 2) + c|x -2) + C x

Q: Evaluate the integral. (Use C for the constant of integration.) 3 dx x(x4 + 5)

A: In this integrated we will assume x4 =t , then we will solve it

Q: find the integral of F(x) = x6(x7-8)4 dx

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Q: Evaluate the integral / -2(In x)? dx

A: Given,         ∫-2lnx2dx

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -2x…

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Q: Evaluate the integral. (Use C for the constant of integration.) x3 xp 49 + x2

A: In this we have to solve by putting the value of u=49+x^2 I'm providing hand written solution for…

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: Evaluate the integral, if it exists.    ∫0T (x4 - 8x  +7) dx

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Q: Evaluate the integral by making the given substitution.

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Q: Evaluate the integral of (x^(3))*(e^(x^2))*dx

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Q: Take the integral from 0 to 2 of (x/x2+4x+8)dx

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Q: Evaluate the integral by using a substitution prior to integration /2s + 17

A: Here we have to evaluate,

Q: Evaluate the integral, if it exists.    ∫01 (1 -x9) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) /1+√x ox dx

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Q: Evaluate the integral f xe6x dx

A: Given :          ∫xe6x2 dx   To evaluate the given integral.

Q: c/4- 4 – x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) dx x² - 3

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Q: Approximate the value of the given integral by use of the trapezoidal rule, using the given value of…

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Q: [(b) find the integral in the interval [1,4] S(3/2 sqrt(x)-4/x^2) dx ].

A: To evaluate the given integral on [1,4]

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: (2x² + 3) dx (x² + 1)2

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Q: Evaluate the integral. (Use C for the constant of integration.) dx x2 + 25

A: SOLUTION-

Q: Evaluate the integral or state that it diverges. 14 -dp- x(x+ 1) 2

A: The given integral ∫2∞14xx+1dx use partial fractions 14x(x+1)=14x-14(x+1)

Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: Find the integral. (Use C for the constant of integration.) (x8 + 9-X) dx

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: We can solve this by using substitution.

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

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Q: Evaluate the integral, if it exists.

A: Given: I=∫04x-1dx for evaluate given integral, we break it in two parts as given below…

Q: 5. -dx 1 + x

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

A: We have to find the integral

Q: x2 dx (x² – 25)5/2

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. -6x…

A: We have to evaluate ∫e-6xdx ,   by substituting u=-6xWe have to evaluate ∫dt1-7t6 ,   by…

Q: Find the integral. (Use C for the constant of integration.) (x8 + 3-X) dx

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Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,

Q: Evaluate the integral x/dx 2.

A: The collection of all antiderivative of f is called the indefinite integralof f with respect to x,…

Q: Using only the definition of RS-integral, evaluate 2 d[x}.

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Q: Evaluate the integral by making the given substitution. x³(10 + x*)7 dx, u = 10 + x4

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Q: Evaluate the integral. (Use C for the constant of integration.) х dx x2 + x + 3

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/√x - 2

A: Given Integral is., I=∫xx-2dx

Q: Evaluate the integral of xe^(x^(2)) dx

A: To determine the value of the integral.

Q: If f(x)dr what are the bounds of integration for the first integral? a = and b

A: If ∫abf(x)dx=∫-65f(x)dx+∫58f(x)dx-∫-6-2f(t)dt To determine the bounds a and b.

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√x - 3

A: To evaluate the integral: ∫1xx-3dx. Let substitute u=x-3 dudx=12x-3dx=2x-3du Substituting the value,…

Q: 33 = 1-

A: Here we evaluate the integral by using substitution method    ∫ dt/(1-3t)7 , u = 1 -3t

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√(7 - x2)

A: Given integral, ∫dxx7-x2we have to evaluate the given intewgral;

Q: a) Evaluate the integrals using a dx i) S16x2 1+16x?

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the integral. (Use C for the constant of integration.) R - 9x In(x) dx x² – 25

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Q: Evaluate the integral J*(x*-1)°dx by using substitution.

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 In xp (x^ +C

A: Topic:- integration

Q: Evaluate the integral. (Use C for the constant of integration.) 7 In(x) dx XV 5 + (In(x))²

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Q: Compute the integral by algebraic substitution: ∫7/2+√x-4 dx

A: We need to compute the integral ∫72+x-4 dx Now, using the property ∫a fx+bgx dx=a∫ fx dx+b∫gx dx…

Q: Evaluate the integral. (Use C for the constant of integration.) 7 In(x) dx 4 + (In(x))?

A: